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Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Applications of the Second-Order Esscher Pricing in Risk Management

This paper explores the application and significance of the second-order Esscher pricing model in option pricing and risk management. We split the study into two main parts. First, we focus on the constant jump diffusion (CJD) case, analyzing the behavior of option prices as a function of the second

Holy Grail Math 8.5 Rigor 6 ·  October 29, 2024

Super-hedging-pricing formulas and Immediate-Profit arbitrage for market models under random horizon

In this paper, we consider the discrete-time setting, and the market model described by (S,F,T)$. Herein F is the ``public" flow of information which is available to all agents overtime, S is the discounted price process of d-tradable assets, and T is an arbitrary random time whose occurrence might

Lab Rats Math 8.5 Rigor 2 ·  January 11, 2024

The second-order Esscher martingale densities for continuous-time market models

In this paper, we introduce the second-order Esscher pricing notion for continuous-time models. Depending whether the stock price $S$ or its logarithm is the main driving noise/shock in the Esscher definition, we obtained two classes of second-order Esscher densities called linear class and exponent

Lab Rats Math 9.2 Rigor 1.5 ·  July 4, 2024

New Stochastic Fubini Theorems

The classic stochastic Fubini theorem says that if one stochastically integrates with respect to a semimartingale $S$ an $η(dz)$-mixture of $z$-parametrized integrands $ψ^z$, the result is just the $η(dz)$-mixture of the individual $z$-parametrized stochastic integrals $\intψ^z{d}S.$ But if one want

Lab Rats Math 9.5 Rigor 1 ·  March 20, 2024

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